QUESTION: can we replace the 4 input AND gates in the circuit with 2 input AND gates? if yes , how

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Automatic lawn sprinkler systems use a digital system to control the opening and closing of water valves. A sprinkler system usually supports several different zones such as the backyard, left side yard, right side yard, front yard etc. Only one zone's value can be opened at a time in order to remain enough water pressure in the sprinklers in that zone.

suppose a sprinkler system supports up to 8 zones. Typically, a sprinker system is controlled by a small, inexpensive microprocessor executing a program that opens each value only at specific times of the day and for specific durations. suppose the microprocessor only has 4 output pins available to control the valves, not 8 outputs as required for the 8 zones. We can instead program the microprocessor to use 1 pin to indicate whether a valve should be opened, and use the 3 other pins to output the active zone (0,1....7) in binary. thus we need to design a combination circuit having 4 inputs, e, and a,b,c (the binary value of the active zone) and having 8 outputs d7,d6...d0

 

fyi: the design has a microprocessor and decoder that goes to 7 zones

QUESTION: can we replace the 4 input AND gates in the circuit with 2 input AND gates? if yes , how

2) Truth table of the circult:
EABC do dd2 d3 du ds do dz
as
| XXXO
. 01010 1 010
1 010.1 01
10:oooloo
ㅇ
10
으
|||||0||||
||||||0|0|0|0
。
.0 ㅇ
G.
0 ㅇ
。
○ 0 10. ㅇ ·0 。
。
○
0
00
1
ㅇ
11011
11 0 0 010 0 0 1 ㅇ
1|||||||0 0101010
00
0 。 ㅇ 1
。
○
。
0
。 ㅇ }
-
Transcribed Image Text:2) Truth table of the circult: EABC do dd2 d3 du ds do dz as | XXXO . 01010 1 010 1 010.1 01 10:oooloo ㅇ 10 으 |||||0|||| ||||||0|0|0|0 。 .0 ㅇ G. 0 ㅇ 。 ○ 0 10. ㅇ ·0 。 。 ○ 0 00 1 ㅇ 11011 11 0 0 010 0 0 1 ㅇ 1|||||||0 0101010 00 0 。 ㅇ 1 。 ○ 。 0 。 ㅇ } -
It is shown below using a non-standard³ 4-input AND gates and inverters.
A
B
Do
C
Do
do
d1
d2
d3
d4
d5
d6
d7
Figure 3. Logic Circuit Schematic of the Sprinkler System based on Table 1
Transcribed Image Text:It is shown below using a non-standard³ 4-input AND gates and inverters. A B Do C Do do d1 d2 d3 d4 d5 d6 d7 Figure 3. Logic Circuit Schematic of the Sprinkler System based on Table 1
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